A Reformulation of Nonlinear Anisotropic Elasticity for Impact Physics

Abstract

A new anisotropic Eulerian theory of nonlinear thermoelasticity developed in the present work has been shown to provide superior accuracy and/or stability over existing Lagrangian thermoelasticity theory for large static compression and shear deformation of ideal cubic crystals and diamond, and for the shock response of three different metallic crystals. For the shock response of single crystals of quartz and sapphire, Eulerian and Lagrangian theories are of comparable accuracy, with fourth-order elastic constants (quartz) and third-order elastic constants (diamond) necessary for a best fit to published experimental shock-compression data. Superior accuracy of this Eulerian theory, which degenerates to a Birch-Murnaghan equation-of-state when deviatoric stresses are negligible, has been demonstrated for representing the shock-compression response of aluminum, copper, and magnesium.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2014
Accession Number
ADA597897

Entities

People

  • John D. Clayton

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Aluminum
  • Compression
  • Crystals
  • Diamonds
  • Elastic Properties
  • Equations
  • Magnesium
  • Materials
  • Mechanics
  • Metals
  • Minerals
  • Sapphire
  • Simulations
  • Single Crystals
  • Stresses
  • Wave Propagation

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.